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Matematicheskie Zametki, 2018, Volume 104, Issue 4, Pages 505–515
DOI: https://doi.org/10.4213/mzm12151 (Mi mzm12151) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Recovery of a Rapidly Oscillating Absolute Term in the Multidimensional Hyperbolic Equation

P. V. Babicha, V. B. Levenshtamab

a Southern Federal University, Rostov-on-Don
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
Full-text PDF (509 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm12151
Abstract: The paper is devoted to the development of the theory of inverse problems for evolution equations with summands rapidly oscillating in time. A new approach to setting such problems is developed for the case in which additional constraints (overdetermination conditions) are imposed only on several first terms of the asymptotics of the solution rather that on the whole solution. This approach is realized in the case of a multidimensional hyperbolic equation with unknown absolute term.
Keywords: multidimensional hyperbolic equation, rapidly oscillating absolute term, asymptotics of solution, inverse problem.
Received: 29.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 4, Pages 489–497
DOI: https://doi.org/10.1134/S000143461809016X
Bibliographic databases:
Document Type: Article
UDC: 517.955.8
Language: Russian
Citation: P. V. Babich, V. B. Levenshtam, “Recovery of a Rapidly Oscillating Absolute Term in the Multidimensional Hyperbolic Equation”, Mat. Zametki, 104:4 (2018), 505–515; Math. Notes, 104:4 (2018), 489–497
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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